Data Mining Approach to Ab-Initio Prediction of Crystal Structure

Predicting crystal structure is one of the most fundamental problems in materials science and a key early step in computational materials design. Ab initio simulation methods are a powerful tool for predicting crystal structure, but are too slow to explore the extremely large space of possible structures for new alloys. Here we describe ongoing work on a novel method (Data Mining of Quantum Calculations, or DMQC) that applies data mining techniques to existing ab initio data in order to increase the efficiency of crystal structure prediction for new alloys. We find about a factor of three speedup in ab intio prediction of crystal structures using DMQC as compared to naive random guessing. This study represents an extension of work done by Curtarolo, et al. [1] to a larger library of data.

[1]  S. Wold,et al.  The Collinearity Problem in Linear Regression. The Partial Least Squares (PLS) Approach to Generalized Inverses , 1984 .

[2]  G. Kresse,et al.  Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set , 1996 .

[3]  J. Edward Jackson,et al.  A User's Guide to Principal Components: Jackson/User's Guide to Principal Components , 2004 .

[4]  G. V. Chester,et al.  Solid State Physics , 2000 .

[5]  J. Nørskov,et al.  Combined electronic structure and evolutionary search approach to materials design. , 2002, Physical review letters.

[6]  Kristin A. Persson,et al.  Predicting crystal structures with data mining of quantum calculations. , 2003, Physical review letters.

[7]  A. Zunger,et al.  Self-interaction correction to density-functional approximations for many-electron systems , 1981 .

[8]  J. E. Jackson A User's Guide to Principal Components , 1991 .

[9]  Gerbrand Ceder,et al.  Automatic construction, implementation and assessment of Pettifor maps , 2003 .

[10]  S. Curtarolo Coarse-graining and data mining approaches to the prediction of structures and their dynamics , 2003 .

[11]  S. D. Jong SIMPLS: an alternative approach to partial least squares regression , 1993 .

[12]  J. Gale,et al.  The prediction of inorganic crystal structures using a genetic algorithm and energy minimisation , 1999 .

[13]  J. Edward Jackson,et al.  A User's Guide to Principal Components. , 1991 .

[14]  Richard Kramer,et al.  Chemometric Techniques For Quantitative Analysis , 1998 .